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A Multi-dimensional Heat Conduction Analysis: Analytical Solutions versus F.E. Methods in Simple and Complex Geometries with Experimental Results Comparison

Authors: FLORIS, FRANCESCO; ILEMIN, BULUT; ORRU', PIER FRANCESCO;

A Multi-dimensional Heat Conduction Analysis: Analytical Solutions versus F.E. Methods in Simple and Complex Geometries with Experimental Results Comparison

Abstract

AbstractComputer codes are widely used to predict heat transfer fields. Modeling is accomplished in multidimensional media with homogenous or not homogenous thermal conductivity, with or without volume heat sources and enthalpy flux.This paper compares the analytical solution of temperature fields in a few physical cases such as aliment cakes, capacitors, gas turbine blades, tanks with infinite element computer results and experimental results.The analytical solution of heat transfer partial differential equations presented in this paper appears in the form of the sum of effects. One of them is an infinite series in term of eigenvalues that is easily managed through mathematical commercial codes available even for palmar calculations. A comparison with experimental results shows that the concept of analytical solution has application in many physical phenomena without going to the complexity of computer code modeling.

Keywords

Energy(all), Heat generation, Heat transfer, Capacitors; Conduction; Energy balance; Heat generation; Heat transfer; Energy (all), Energy balance, Capacitors, Conduction

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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